Special Issue on Symmetries and Integrability of Difference Equations

The Guest Editors for this special issue are

Véronique Hussin (Université de Montréal, Canada)
Mourad Ismail (University of Central Florida, USA)
Decio Levi (Università degli Studi Roma Tre, Italy)
Zora Thomova (SUNY Polytechnic Institute, USA)
Pavel Winternitz (Université de Montréal, Canada)

This issue is related to SIDE12 conference which was held at Le Chantecler, in SteAdèle, Québec, Canada (the Laurentian area near Montréal), from July 4, 2016 to July 9, 2016.

The issue contains 13 papers with the total of 276 pages.

We wish to thank also all the conference participants, all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

Papers in this Issue:

Special Solutions of Bi-Riccati Delay-Differential Equations

Bjorn K. Berntson
SIGMA 14 (2018), 020,   9 pages   [ abs   pdf ]

Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions

Giorgio Gubbiotti, Christian Scimiterna and Ravil I. Yamilov
SIGMA 14 (2018), 008, 51 pages   [ abs   pdf ]

Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation

Giorgio Gubbiotti and Christian Scimiterna
SIGMA 14 (2018), 004, 21 pages   [ abs   pdf ]

Rational Solutions to the ABS List: Transformation Approach

Danda Zhang and Da-Jun Zhang
SIGMA 13 (2017), 078, 24 pages   [ abs   pdf ]

Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results

Éric-Olivier Bossé and Luc Vinet
SIGMA 13 (2017), 074, 19 pages   [ abs   pdf ]

Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings

Ismagil Habibullin and Mariya Poptsova
SIGMA 13 (2017), 073, 26 pages   [ abs   pdf ]

$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation

Bao-Feng Feng and Yasuhiro Ohta
SIGMA 13 (2017), 071, 16 pages   [ abs   pdf ]

Rational Solutions of the Painlevé-II Equation Revisited

Peter D. Miller and Yue Sheng
SIGMA 13 (2017), 065, 29 pages   [ abs   pdf ]

Relativistic DNLS and Kaup-Newell Hierarchy

Oktay K. Pashaev and Jyh-Hao Lee
SIGMA 13 (2017), 058, 13 pages   [ abs   pdf ]

On Reductions of the Hirota-Miwa Equation

Andrew N.W. Hone, Theodoros E. Kouloukas and Chloe Ward
SIGMA 13 (2017), 057, 17 pages   [ abs   pdf ]

Symmetries of the Hirota Difference Equation

Andrei K. Pogrebkov
SIGMA 13 (2017), 053, 14 pages   [ abs   pdf ]

Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice

Allan P. Fordy and Pavlos Xenitidis
SIGMA 13 (2017), 051, 10 pages   [ abs   pdf ]

Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation

Hayato Chiba
SIGMA 13 (2017), 025, 27 pages   [ abs   pdf ]